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Finding the Fourth Proportional to 502.90, 755.97 and 500.47

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Solution

The fourth proportional to 502.90, 755.97 and 500.47 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.90 : 755.97 = 500.47 : x
  2. Step 2: Convert to fraction form
    502.90/755.97 = 500.47/x
  3. Step 3: Cross multiply
    502.90x = 755.97 × 500.47
  4. Step 4: Simplify right side
    502.90x = 378,340.31
  5. Step 5: Solve for x
    x = 378,340.31/502.90
  6. Step 6: Final answer
    x = 752.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.